Solve for s. 48 = -85 Answer:
1 answer:
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Answer:
∅ = 30°
Step-by-step explanation:
given data
side 1 = 6 inches
side 2 = inches
to find out
angle opposite the leg that is 6 inches long
solution
we will use pythagoras theorem that is express as
hypotenuse² = perpendicular² + base² .......................1
put here value and we get hypotenuse
hypotenuse² = 6² + ( )²
solve it we get
hypotenuse² = 144
hypotenuse = 12 inches
now we apply here sin∅ that is
sin∅ = ................2
put here value and we get
put here value and we get
sin∅ =
∅ =
solve it we get
∅ = 30°
<h2>Answer: X=6.5 cm
</h2><h2 />
In order to understand the question and find the solution, let's use the <u>figure attached</u>.
In this figure is shown the triangle with its three sides, where the value of the third is unknown.
We can divide this triangle into two right triangles (figure attached) and use<u> trigonometric functions</u> to find the unknown side in each one:
For Triangle 1:
Is a triangle with sides ,
and
. We can use the sine trigonometric function to find side
:
(1)
Where is the opposite side to the angle and
the hypotenuse
Substituting the values:
(2)
For Triangle 2:
We will use the same procedure, nevertheless, in this case the opposite side is and the hypotenuse is 7 cm:
(3)
Adding both values:
We finally find the value of the third side of the whole triangle: